Using the magnetization measurements, the lower critical field for the H\(_3\) S system has been extracted to be \(H_{C1}(0) = 0.03 T\)  by Drozdov et al [1]}. However, using the sample geometry of the NRS experiment [2]}, Hirsch et al [3]} argued that \(H_{C1} > 2.5 T\) . Using this lower bound for the lower critical field and the experimental value for the upper critical filed \(H_{C2} = 70 T\) , Eq. (26) gives us \(\kappa = 4.6\)  for the H\(_3\) S system. Equation (28) then yields \(H_C(0) = 10.8 T\) . We then use the Eq. (30) to find the density of states for both spins [3]}:
\(g(\epsilon _F) = 1.053/eV {Å}^3\) 
